Find all horizontal and vertical asymptotes.

$$f(x)=\frac{x^2+9}{x-3}$$

*Identify any vertical or horizontal asymptotes.8

$$f(x)=\frac{4}{x+3}$$

Find the horizontal asymptotes, if any, of the curve. $y=\frac{1}{e^x+1}$

What is the equation of the horizontal asymptote to the graph of $f(x)=3 e^{x-4}+5 ?$

Write an equation for a line that satisfies the given conditions: through $(-7,8)$ and horizontal.

Find the horizontal asymptotes, if any, of the curve. $y=e^{2 x}+2 e^x$

Write an equation for a line that satisfies the given conditions: through $(2,7)$ and horizontal.

Determine the points on the curve $y=x^3-x^2-x+1$ where the tangent is horizontal.

The force applied to the machine is the (a) effort. (b) frictional. (c) horizontal. (d) resistance.

Determine the maximum of $x^3 e^{-x}$ on the horizontal span from 0 to 5.

Determine the vertical and horizontal asymptotes of the graph of the function

$$f(x)=\frac{1}{(x-1)}$$

Find the vertical and horizontal asymptotes
$f(x)=\frac{3x}{(2x-5)^2}$.

Find the horizontal asymptotes, if any, of the curve. $y=\frac{2 x}{x^3+3}$

Explain in your own words why the graph of $y=8$ is a horizontal line.